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Finding the Third Proportional to 49,036 and 74,106

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Solution

The third proportional to 49,036 and 74,106 is: 111,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,036 : 74,106 = 74,106 : x
  2. Step 2: Convert to fraction form
    49,036/74,106 = 74,106/x
  3. Step 3: Cross multiply
    49,036x = 74,106 × 74,106
  4. Step 4: Simplify right side
    49,036x = 5,491,699,236
  5. Step 5: Solve for x
    x = 5,491,699,236/49,036
  6. Step 6: Final answer
    x = 111,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.